A Plane Flies 500 Miles with the Wind and 350 $24 \mathrm{mph}$

Multiple Choice

A plane flies 500 miles with the wind and 350 miles against the wind in the same length of time. If the speed of the wind is $24 \mathrm{mph}$ , what is the speed of the plane in still air?

A) $126 \mathrm{mph}$
B) $136 \mathrm{mph}$
C) $141 \mathrm{mph}$
D) $161 \mathrm{mph}$